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Finding the Fourth Proportional to 3,433.06, 5,149.86 and 967.90

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Solution

The fourth proportional to 3,433.06, 5,149.86 and 967.90 is: 1,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.06 : 5,149.86 = 967.90 : x
  2. Step 2: Convert to fraction form
    3,433.06/5,149.86 = 967.90/x
  3. Step 3: Cross multiply
    3,433.06x = 5,149.86 × 967.90
  4. Step 4: Simplify right side
    3,433.06x = 4,984,549.49
  5. Step 5: Solve for x
    x = 4,984,549.49/3,433.06
  6. Step 6: Final answer
    x = 1,451.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.